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Finding the Fourth Proportional to 535.68, 739.53 and 361.26

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Solution

The fourth proportional to 535.68, 739.53 and 361.26 is: 498.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.68 : 739.53 = 361.26 : x
  2. Step 2: Convert to fraction form
    535.68/739.53 = 361.26/x
  3. Step 3: Cross multiply
    535.68x = 739.53 × 361.26
  4. Step 4: Simplify right side
    535.68x = 267,162.61
  5. Step 5: Solve for x
    x = 267,162.61/535.68
  6. Step 6: Final answer
    x = 498.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.